A185771 -id:A185771 - cp's OEIS frontend

A253294 T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock sum differing from its neighbors horizontally, vertically, diagonally and antidiagonally.

81, 558, 558, 3844, 3600, 3844, 26784, 23546, 23546, 26784, 186624, 167832, 140536, 167832, 186624, 1296000, 1184928, 1029888, 1029888, 1184928, 1296000, 9000000, 8243488, 7431136, 8153960, 7431136, 8243488, 9000000, 62568000, 57474376

Offset: 1

R. H. Hardin, Dec 29 2014

Table starts
.........81.........558.........3844........26784.......186624......1296000
........558........3600........23546.......167832......1184928......8243488
.......3844.......23546.......140536......1029888......7431136.....52784020
......26784......167832......1029888......8153960.....61286116....465921688
.....186624.....1184928......7431136.....61286116....486417836...4028778100
....1296000.....8243488.....52784020....465921688...4028778100..36312321352
....9000000....57474376....376392916...3524494796..32585471254.317292582684
...62568000...402165016...2705942488..26879615668.268974784168
..434972736..2811886280..19441124904.204459584768
.3022785216.19648735840.139538118106

			Some solutions for n=3, k=4
..0..0..0..0..2....0..0..0..1..0....0..0..1..2..2....0..0..0..1..2
..2..0..0..2..1....0..2..2..2..0....0..2..1..2..1....0..0..1..2..2
..1..0..1..1..2....0..1..2..2..0....2..2..0..0..1....2..0..2..0..2
..2..1..0..1..1....0..1..1..1..0....1..2..0..2..2....1..2..0..0..1

R. H. Hardin, Table of n, a(n) for n = 1..84

Column 1 is A185771.

Empirical for column k:
k=1: [linear recurrence of order 9];
k=2: [order 40].

A253164 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock sum differing from its neighbors horizontally, vertically and nw-se diagonally.

Original entry on oeis.org

81, 558, 558, 3844, 5136, 3844, 26784, 46752, 46752, 26784, 186624, 443362, 555842, 443362, 186624, 1296000, 4189216, 7252320, 7252320, 4189216, 1296000, 9000000, 39478862, 92998506, 135741428, 92998506, 39478862, 9000000, 62568000

Offset: 1

R. H. Hardin, Dec 28 2014

Table starts
.........81.........558.........3844........26784........186624.......1296000
........558........5136........46752.......443362.......4189216......39478862
.......3844.......46752.......555842......7252320......92998506....1190692584
......26784......443362......7252320....135741428....2461955138...44789509812
.....186624.....4189216.....92998506...2461955138...62954425188.1612778665632
....1296000....39478862...1190692584..44789509812.1612778665632
....9000000...371551030..15179218714.808045500430
...62568000..3500351616.194198939906
..434972736.32968666098
.3022785216

			Some solutions for n=2 k=4
..0..2..1..2..2....0..0..0..1..1....0..0..1..1..2....0..0..1..0..0
..0..2..2..0..0....0..1..2..2..0....1..2..1..2..1....0..2..1..1..1
..1..0..1..1..0....2..0..2..0..0....1..0..2..1..0....1..2..2..2..1

R. H. Hardin, Table of n, a(n) for n = 1..60

Column 1 is A185771

Empirical for column k:

k=1: a(n) = 3*a(n-1) +96*a(n-3) +504*a(n-4) +792*a(n-5) +2304*a(n-6) -13824*a(n-8) -13824*a(n-9)

cp's OEIS Frontend

A253294 T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock sum differing from its neighbors horizontally, vertically, diagonally and antidiagonally.

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